L. A. Kalyakin, A. K. Zvezdin, Z. V. Gareeva, “Asymptotic analysis of a multiferroic model”, TMF, 2020, Volume 203, Number 1,Pages <nobr>26–39</nobr>

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TMF, 2020 Volume 203, Number 1, Pages 26–39 (Mi tmf9790)

This article is cited in 2 papers

Asymptotic analysis of a multiferroic model

L. A. Kalyakin^a, A. K. Zvezdin^bc, Z. V. Gareeva^d

^a Institute of Mathematics with Computing Centre — Subdivision of the Ufa Federal Research Centre of the Russian Academy of Science, Ufa, Russia
^b Prokhorov General Physics Institute of the Russian Academy of Sciences, Moscow, Russia
^c National Research University "Higher School of Economics", Moscow, Russia
^d Institute of Molecule and Crystal Physics, Ufa Science Center of the Russian Academy of Science, Ufa, Russia

Abstract: We consider a system of nonlinear autonomous differential equations that describe the orientation of the antiferromagnetic vector in a multiferroic film and find the conditions for the existence of spatially modulated structures of the cycloid type. We investigate the stability of such structures under spatial perturbations.

Keywords: multiferroics, nonlinear equation, variational problem, small parameter, asymptotics.

Received: 02.08.2019
Revised: 24.11.2019

DOI: 10.4213/tmf9790

English version: Theoretical and Mathematical Physics, 2020, 203:1, 457–468

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